Question

After you present the plans to the Noethers, Mrs. Noether loves your drawing so much that she wants you to create a similar pool for the family dogs. She wants the dimensions of this pool to be 1/4 the dimensions of the family pool.

Determine the following:

The dimensions for the dog pool that fit the above specifications
The amount of pool liner material that will be needed to completely line the inside of the pool (sides and bottom)
The amount of water that will be needed to fill the pool if the water needs to be 6 inches below the top of the pool

Answer 1

@Valpey

Answer 2

THE FAMILY DIMENSION IS 6X20X20

Answer 3

I assume that the family pool dimension is in feet. So we have
Family Pool = 6' x 20' x 20'
For the dog pool we need each dimension to be 1/4 the size of the Family Pool.
What is 1/4 of 6'?
What is 1/4 of 20'?

Answer 4

I just did this project, you're in module 7, right?

Answer 5

@cocoa020 and how do i do 1/4 of 6 valpey?

Answer 6

1/4 of 6 feet. How tall is that in inches? Divide by 4.

Answer 7

is it 1.5?

Answer 8

Yes.

Answer 9

so i drew a rectangular pool and so far i have 1.5ft, 20ft and another 5ft, is that right

Answer 10

So the dog pool is 1.5 feet deep. The family pool is 20' by 20' square. The dog pool is also square with each dimension being 1/4 the larger pool.

Answer 11

yea its 1.5ft deep and would the L&W be 5ft cause thats what i have

Answer 12

Yes. So can you solve for the amount of pool liner you need for the dog pool? You need to cover four sides and the bottom.

Answer 13

Pool liner will be measured in square feet (area). Amount of water will be measured in cubic feet (Volume).

Answer 14

so i did 5x1.5= 7.5
four sides of the pool is =30
now of the pool is 5x5=25
so its55 square ft, am i on the right track?

Answer 15

Yes!

Answer 16

but am not done , right

Answer 17

For the volume of water in the pool you just need to shave 6 inches off the depth because "the water needs to be 6 inches below the top of the pool"

Answer 18

would that be 5.5, i dont really understand

Answer 19

are you still there??

Answer 20

ms noether was a famous mathematician from germany

Answer 21

wooow, well thanks for letting me know something new but i would rather know how to do this problem :)

Answer 22

The depth of the pool is 1.5 feet. The depth of the water is 6 inches less than that. Since 6 inches is 0.5 feet, then the depth of the water is 1 foot. For the volume of water you multiply the depth by the length and width of the pool.

Answer 23

@ganeshie8 you dont know how to do it either?? like all i need to know is how to get the volume of the water

Answer 24

Hi. I was wondering if anyone got this ? lol